Area and Perimeter Worksheet
The method (Round and inside): Rectangle: area = l × b, perimeter = 2 × (l + b). Square: area = side × side, perimeter = 4 × side. Triangle: area = ½ × base × height. Circle (π = 22/7): area = π × r × r, circumference = 2 × π × r. Path outside a garden: (l + 2w) × (b + 2w) − l × b.
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- 1.Find the area of a circle of radius 7 cm (take π = 22/7; answer in sq cm).
- 2.The perimeter of a square is 56 cm. What is its area (in sq cm)?
- 3.Find the area of a circle of radius 14 cm (take π = 22/7; answer in sq cm).
- 4.A garden is 39 m long and 16 m wide. A path 1 m wide runs all round it, outside. What is the area of the path (in sq m)?
- 5.A rectangular field is 33 m long and 28 m wide. What is its area (in sq m)?
- 6.A rectangle has an area of 209 sq cm and a length of 19 cm. What is its perimeter (in cm)?
- 7.A park is 23 m long and 5 m wide. Fencing costs ₹34 per metre. What does it cost to fence the park all round (in ₹)?
- 8.A round wheel has a radius of 28 cm. What is its circumference (take π = 22/7; in cm)?
- 9.A triangle has a base of 4 cm and a height of 19 cm. What is its area (in sq cm)?
- 10.The perimeter of a square is 104 cm. What is its area (in sq cm)?
- 11.The perimeter of a square is 120 cm. What is its area (in sq cm)?
- 12.A triangle has a base of 12 cm and a height of 6 cm. What is its area (in sq cm)?
- 13.A rectangle has an area of 114 sq cm and a length of 38 cm. What is its perimeter (in cm)?
- 14.A triangle has a base of 12 cm and a height of 19 cm. What is its area (in sq cm)?
- 15.A round wheel has a radius of 14 cm. What is its circumference (take π = 22/7; in cm)?
- 16.A round wheel has a diameter of 14 cm. What is its circumference (take π = 22/7; in cm)?
- 17.A round wheel has a radius of 21 cm. What is its circumference (take π = 22/7; in cm)?
- 18.Find the area of a circle of radius 21 cm (take π = 22/7; answer in sq cm).
- 19.A rectangle has an area of 64 sq cm and a length of 16 cm. What is its perimeter (in cm)?
- 20.A park is 20 m long and 18 m wide. Fencing costs ₹29 per metre. What does it cost to fence the park all round (in ₹)?
- 21.A rectangular field is 5 m long and 4 m wide. What is its area (in sq m)?
- 22.A round wheel has a diameter of 70 cm. What is its circumference (take π = 22/7; in cm)?
- 23.A round wheel has a diameter of 84 cm. What is its circumference (take π = 22/7; in cm)?
- 24.A rectangle has an area of 240 sq cm and a length of 20 cm. What is its perimeter (in cm)?
- 25.A round wheel has a diameter of 28 cm. What is its circumference (take π = 22/7; in cm)?
- 26.A rectangle has an area of 15 sq cm and a length of 5 cm. What is its perimeter (in cm)?
- 27.A park is 12 m long and 7 m wide. Fencing costs ₹33 per metre. What does it cost to fence the park all round (in ₹)?
- 28.A rectangular field is 7 m long and 6 m wide. What is its area (in sq m)?
- 29.A rectangular field is 37 m long and 4 m wide. What is its area (in sq m)?
- 30.A rectangular field is 26 m long and 11 m wide. What is its area (in sq m)?
- 31.The perimeter of a square is 100 cm. What is its area (in sq cm)?
- 32.A triangle has a base of 5 cm and a height of 12 cm. What is its area (in sq cm)?
- 33.A round wheel has a radius of 7 cm. What is its circumference (take π = 22/7; in cm)?
- 34.A rectangle has an area of 54 sq cm and a length of 9 cm. What is its perimeter (in cm)?
- 35.A rectangular field is 35 m long and 7 m wide. What is its area (in sq m)?
- 36.A garden is 37 m long and 19 m wide. A path 1 m wide runs all round it, outside. What is the area of the path (in sq m)?
- 37.A rectangular field is 34 m long and 14 m wide. What is its area (in sq m)?
- 38.A round wheel has a diameter of 42 cm. What is its circumference (take π = 22/7; in cm)?
- 39.A triangle has a base of 8 cm and a height of 13 cm. What is its area (in sq cm)?
- 40.A triangle has a base of 8 cm and a height of 16 cm. What is its area (in sq cm)?
Answer key
- 154
- 196
- 616
- 114
- 924
- 60
- 1904
- 176
- 38
- 676
- 900
- 36
- 82
- 114
- 88
- 44
- 132
- 1386
- 40
- 2204
- 20
- 220
- 264
- 64
- 88
- 16
- 1254
- 42
- 148
- 286
- 625
- 30
- 44
- 30
- 245
- 116
- 476
- 132
- 52
- 64
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